Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:
and 
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
Answer:
1/4
Step-by-step explanation:
The fraction of the juice Alisa drank was
3/8 liter
--------------------
3/2 liters
and this fraction can be simplified by inverting the divisor (3/2 liters) and multiplying instead:
3 2
------ * ----- = 2/8 or 1/4
8 3
Alisa drank 1/4 of the juice that was originally in the bottle.
Answer:
C
Step-by-step explanation:
A and B can be removed because they don't have the "^" known as a carrot which symbolizes a number raised to a certain power.
D is wrong because it says 6 is raised to the x power.
C is correct because a value will be raised to the sixth power.
Answer:
See example below.
Step-by-step explanation:
The image of a triangle will be 5/6 the size. It will be slightly smaller than the original. For example, if the side measurement of the triangle on one side is 12 then the image of the triangle after a dilation will be 12*5/6 = 60/6 = 10.
The new side length is 10 slightly smaller than 12.
The first bullet is the answer
